Respuesta :
Answer:
400 bushels of the 15%
600 bushels of the 10%
Step-by-step explanation:
x bushels of the 15% plus the balance of 1000 bushels at 10% yield 1000 bushels at 12%
15x + 10(1000 - x) = 12(1000)
distribute
15x + 10000 - 10x = 12000
Combine like terms
5x = 2000
Divide both sides by 5
x = 400 bushels of the 15%
1000 - x = 600 bushels of the 10%
The number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content.
Let x be the bushels.
One of the two types of an apple contains 10% real-juice content and the other contains 15% real juice content.
The linear equation can be framed:
15x + 10(1000 - x) = 12(1000)
By using the distributive property:
15x + 10000 - 10x = 12000
5x = 2000 (combine like terms)
x = 400 bushels of the 15%
= 1000 - x
= 1000 - 400
= 600 bushels of the 10%
Thus, the number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
